I'm pretty sure tollens doesnt react with alcohols (at least thats what the spec says).
That being said, it is an oxidising reagent, and it probably can give a false positive if reacted with a primary alcohol (as they are quite easy to oxidise) - as this would then form an aldehyde, and give a positive result. Not sure about the conditions, but someone on chem stack exchange said he got a false positive upon heating.