You can run a 3/32" cog or chainring on a 1/8" chain, so it would be fine to have a 1/8" chainring and chain with a 3/32" freewheel.
@mattty started
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You can run a 3/32" cog or chainring on a 1/8" chain, so it would be fine to have a 1/8" chainring and chain with a 3/32" freewheel.