Theme: RHYME TIME IS NO CRIME - IT'S SUBLIME. Unless I'm missing something else, the longest across and down answers are all two or more words, and they all rhyme. But wait - there's more! Each rhyming finale is spelt differently. Oh, the vagaries of the English language!
17 A. "Doesn't bother me!" : SEE IF I CARE. Contempt or sarcasm. Do I care which? Does it matter?
35 A. After "on," relying mostly on hope in desperate circumstances : A WING AND A PRAYER. This invites an obvious hockey reference, but it's too sad to explore in more depth. I'll just say A PRAYER is all the WINGS have at this point. (sigh!)
57 A. "Shake!" : PUT IT THERE. An invitation to the hand shake.
10 D. Chick flick subject : LOVE AFFAIR. This is said to be what makes the world go 'round. Or maybe it's just angular momentum.
25 D. Schoolyard handshake : PINKY SWEAR. More than just PUT IT THERE; the PINKY SWEAR is a solemn promise "that cannot be broken or counteracted by the crossing of fingers or other such trickery." So there! (from Wikipedia.)
Hi, gang, it's JazzBumpa. I SWEAR, the view from my chair is of five fresh theme answers, four of them at ten letters, and one of them grid spanning, all in perfect symmetry. Very impressive use of language and geometry. Let's check out the rest of the grid.
1. As yet : TO NOW. Shouldn't this include, "with up?"
6. "Atlas Shrugged" writer Ayn : RAND. Terrible writer and sociopath, but who am I to judge?
10. WWII carriers : LST'S. Landing Ship Tanks. These vessels were involved in U.S. military operations in France and the Mediterranean region in WW II.
15. Sautéing acronym, à la Rachael Ray : EVOO. Somebody is going to have to help me with this one. Rachel is cute, fer sure, but I have no clue.
18. Wrinkle remover : IRON. Not recommended for facial wrinkles.
21. Personal ad abbr. : SWF. Single White Female. Also, a scary movie.
27. Sound system part : AMP.
28. Cheers for a torero : OLES. Looks odd in the plural.
29. Not a one : NARY. Countrified slang.
30. Mata __ : HARI. Margaretha Geertruida "Margreet" Zelle (7 August 1876 - 15 October 1917) was a Dutch woman who became a mail-order bride, circus performer, exotic dancer and courtesan, who was accused of spying for the Germans in WW I, and executed by firing squad in France. (more Wikipedia)
31. Obi-Wan portrayer : EWAN. Could have been ALEC.
32. Psychological tricks : MIND GAMES. As in SWF, the movie.
33. Econ. yardstick : GDP. Gross Domestic Product. Something I think about a lot. Really.
36. Org. with a much-quoted journal : A. M. A. American Medical Association. Is there a doctor in the house?
37. Like beer cans before recycling : NO RETURN. Remember disposables? My lovely wife dislikes dealing with returnables, but I don't mind.
38. Dimming gadget : RHEOSTAT. A variable resister that can raise or lower the amount of current flowint to a device, such as a lamp.
43. Lo-__: lite : CAL. The ECONO- of the culinary world.
51. "Don't get any __" : IDEAS. Did your parents even give you this warning?
52. Dynasty during Confucius' time : CHOU. I believe it's pronounced "Joe."
53. Legs it : RUNS. As to first base.
55. Hail in a harbor : AHOY. Aquatic "yoohoo," not frozen rain.
57. Sports tour organizer, for short : PGA. Profesional Golf Association.
Even with 13 3-letter entries, this puzzle has an above average word length for a Wednesday, thanks to 15 entries with 7 or more letters. Lots of freshness in the fill, too. Overall, an enjoyable outing. Hope you liked it as much as I did.