Sorry, it's Bovada and can't export HH.

NL 0.02/0.05

UTG $9.22
UTG+2 $5.64
BTN $6.93
SB (HERO) $4.98

Hero has AK

UTG raises to 0.15, UTG+2 calls 0.15, BTN calls 0.15, Hero raises to 0.75, UTG calls, UTG+2 calls, BTN calls.

973
Hero checks, UTG checks, UTG+2 checks, BTN checks.

8
Hero bets 1.00, UTG raises 3.05, fold, fold, Hero folds

Guess I can check again but figured after the flop action, betting could take the pot since we have the A and have outs if someone does call. Maybe villain has QcQx, or already had a flush with KcQc or something. Any improvements?

I think I check again when it's still massively multiway. Checking your made flushes is probably good too (although you probably don't have many, as you likely c-bet most/all your club draws on the flop). If you only have a couple of flushes, you'd balance with a couple of weaker hands than this. I'm not sure exactly what your squeezing range looks like, or what c-betting strat you use. (Are you c-betting all overpairs?).
The funny thing is that whenever I see the PFR leading on turns like this, I always think "He has a flush draw" and never "He has a flush". I think a lot of people just see they have a club in their hands and assume they have to bet it, but you have to consider what the rest of your range is doing.

Yeah true, I mean if I would have had the nut flush here I would have led out on the turn because I want to build up the pot and not let it get checked down on the turn, but if I did have AcKc or AcQc, I would have led the flop most likely. I guess the turn can be a x/f or x/c if I'm getting really good pot odds. So I guess I kind of am repping what you said, and that's AcXx.