I figure if villian had the A he was probably calling, but assuming he didnt would I have been better checking here to try and induce a bluff on the river?

Full Tilt Poker No-Limit Hold'em, $0.10 BB (6 handed) Hand History converter Courtesy of Poker coaching - Get a free online poker lesson - texas holdem strategy for real poker

BB ($15.40)
UTG ($16.55)
MP ($12.05)
CO ($18.10)
Hero ($8.15)
SB ($10.10)

Preflop: Hero is Button with , .
UTG calls $0.10, 2 folds, Hero raises to $0.5, 2 folds, UTG calls $0.40.

Flop: ($1.15) , , (2 players)
UTG checks, Hero bets $1, UTG calls $1.

Turn: ($3.15) (2 players)
UTG checks, Hero bets $2, UTG folds.

Final Pot: $5.15

Results in white below:
No showdown. Hero wins $5.15.

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Just unlucky he didn't have the A, I play it the same but a check to see if the flush hits isn't bad plus you might induce a bluff.

Technically the answer is no since we know results and you obviously didn't make any money.

I think you should almost always bet strong made hands when in position in a fairly small heads up pot, which is what this is. He is never folding an ace here and may even be planning a check-raise with a big ace which if we deny him that opportunity by checking behind.
There are benefits of checking behind if he folds a flush draw on a paired board but would pay off were he to hit it on river for free and/or bluff river if he missed.
However overall I like the bet.

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super standard