This went smoothly and easily, solved with my mother on a Sunday morning in NYC. The theme is straightforward, and obvious from the title. My favorite from a absurdist point of view is ANNIEGETYOURGNU. And the clue is so tortured as well. The best in terms of degree of difficulty is ILLEGALALINE, in that it's a five-letter ending word instead of the 3- or 4-letter words in the other answers. RAISINGTHEBRA is sort of an anti-Huygens answer.
There wasn't much of anything that gave us pause for long. Some nice clues are present, however: 25A: Something hard to drink? (CIDER) is good, as is 79D: Canine cousin (MOLAR), another excellent example of avoiding an unnecessary question mark. Another example of that is 45D: Where many people may follow you (TWITTER)
I'm not sure that 47A: Asked to come back, in a way (ENCORED) is quite right. I presume the meaning is that of "After the performance, the audience encored the performer several times," but is that really anything anyone would say?
123A: One in a tight spot? (SARDINE) is cute, and 124A: Did some edgy writing? (DOODLED) is all right, but neither were particularly difficult or amusing. I like ICEPALACE and WENTSOLO, but PILLARED is meh.
71D: U.S. city whose name becomes another city's name if you change both its vowels to A's (TEMPE) gets the award for longest clue. At 85 characters, it's longer than its answer by a factor of 17. It's almost tweet-length!
So overall, not particularly challenging nor particularly entertaining.