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If it's a click on every revolution of the chain, and not once every revolution of the chainring/jockeywheel/cassette/cranks then surely it must be chain related? I had a similar click when one of the side plates on the chain on my 29er was about to make a bid for freedom. I worked out what the clicking noise was when the chain fell apart halfway through a 6 hour enduro race.
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Your gear ratio / chain length may be such that the same bit of chain hits the same bit of chain ring on every rotation - so the combination of a specific tooth and a specific link may be the problem.
Also chain ring bolts.
[Edit] Just realised it's geared, not fixed.
Nothing to see here, folks...
I have a slight 'click' on my bike when pedalling - once every rotationg of chain. It's felt as much as heard.
The bike's 10sp (Shimano 4600 mech, 5701 cassette, 6701 chain with a quick link).
Things I think are OK;
Any ideas what I'm overlooking?