Brendan,
This was a tale of 2 sub-puzzles for me. About half went in very quickly, with a few clues (15, 17, 21, 28) seeming a bit prosaic/uninspired. But the second half was more challenging, with lots of strong clues, causing a 27, so to speak. Turned out to be fun!
I also can't parse the first part of 12, though sure of answer. Not certain of my solution to 8 (don't use app).
Uncertain of the correctness of 3's definition, and 27 is a word that may not please purists, but I don't use Chambers so can't say more. Four answers were new to me (US side of pond) but clear enough from wordplay (except possibly 8).
FOI 9, LOI 1.
COD goes to the (27,2) pairing by a narrow margin over the surprisingly neat 19a (rare to be so impressed by a 3-letter word!). Also liked 19d, 29, 1, 26, 13a, 13d, 6, 11 and 4.
Thanks to Brummie. One of the Shakespearian clues showed his naughty Cyclops side. Agreed that the number of Shakespeare clues falls short of a theme, but I'm useless on themes.