Requiem for a Lightweight - S1-E3
Continuity mistake: In the first shot of Trapper running behind the jeep, he has a large patch of sweat on his chest. For the rest of the scene it is dry. (00:13:00)
Continuity mistake: After doing his pushups, Colonel Brighton puts on a red robe and talks with Trapper and Hawkeye. In some shots the cord from the robe's hood is hanging down and in others it is tucked in. (00:10:20)
Continuity mistake: In some shots, Radar's exam questions are in his hand, in others they are tucked under his arm. (00:10:30)
Continuity mistake: When Radar and Burns leave the tent for morning parade, Radar's clipboard acquires a pencil. (00:02:50)
Continuity mistake: The length of the chewing gum hanging from Henry's hat differs between the front and rear shots. (00:03:10)
Continuity mistake: After Iron Guts Kelly dies in Margaret's tent, Frank Burns visits Margaret, suspecting something. Frank asks why there is a general's star on her cot. In the ensuing 'back and forth' dialogue, Margaret's hair goes (in close ups) from nicely combed, to frazzled, back to nicely combed again (and in a different light).
Continuity mistake: Just after the announcement that General MacArthur is coming, Trapper puts on his sunglasses, then the shot switches to Henry walking, and in the background Trapper is putting his glasses on again.
Hot Lips and Empty Arms - S2-E14
Continuity mistake: When Margaret is seen drunk in Henry's office it is daylight outside. Radar brings news of incoming casualties so they rush outside where it is pitch dark. (00:20:00)
Continuity mistake: In the beginning scene in the mess hall, Charles' rank insignia & medical insignia are on the wrong sides of his collar, the next scene they are on the correct side.
Continuity mistake: When Frank is trying to examine the Colonel, in some shots Buzz's robe is open and in others it is tied at the waist. (00:10:50)
Continuity mistake: When Henry, Trapper, and Hawkeye get into the jeep with Radar notice the style of jeep and its number is 16930382, but when they're driving to the chopper pad the style differs - things such as hood, antenna, etc, and its number is 11172419. Then when the chopper takes off the jeep's style is back to the original jeep they were in.
Continuity mistake: When Hawkeye and Lt. Johnson are sharing Hawkeye's bottle of "wine" there's a closeup of Johnson's hand holding the glass, and in the closeup that hand has short nails, whereas in all other shots Johnson has long nails.
L.I.P. (Local Indigenous Personnel) - S2-E7
Continuity mistake: When Lieutenant Willis wakes up in the Swamp and puts his shirt on he's wearing his dog tags, but when he tosses the papers and puts on the rest of his clothes the dog tags have suddenly vanished, then they reappear, vanish, and reappear again.
Continuity mistake: Right after Radar tells Henry to forget about the game there's an explosion, and when Radar shouts, "More on the way!" everyone ducks and we see Henry's diploma up on the wall, but when it cuts to a different angle the diploma has vanished before the room even shakes or the heater's stovepipe falls.
Continuity mistake: While Radar's spying on Baker's hand for Hawkeye during the poker game, Baker's only wearing his T-shirt later in the game, but in the views from Radar's telescope eyepiece Baker's still wearing his jacket.
Continuity mistake: After Frank picks up the still, his hands alternate from left hand above right to right hand above left between angles.
Continuity mistake: Along with Radar holding an anachronistic comic book (the Avengers), the exact issue changes between wide and close shots. One has the older Avengers logo used in the '60s and very early '70s, while the second issue Radar is holding has the newer Avengers logo that just gained currency as the episode was being filmed. (00:00:45)
The General's Practitioner - S5-E20
Continuity mistake: Near the beginning, while Col. Bidwell is watching Hawkeye operate, in the closeups he is standing by the window but in the wide shots he is standing in a different part of the O.R. (00:04:00)
Answer: Even an Army field hospital would have SOME weapons for self-defense if the enemy attacked. What's meant is that it's not a combat outfit, and therefore wouldn't have enough weapons to actually attack anyone. (It's also mentioned a few times that the Officer of the Watch is supposed to carry a pistol at all times, but Hawkeye refuses to do it when he's in charge and Colonels Blake and Potter don't enforce the rule).
Captain Defenestrator