Fixie chains are prone to noise, especially the full-bushing variety. A worn chainring rarely causes slippage, but a worn sprocket does, so you might want to think about replacing that. Some people run the whole lot - chain, sprocket and chainring - into the ground and replace the whole lot together.
A SRAM PC-1 runs quieter than most 1/8" chains (if you're using 1/8").