You should definitely log it and get it signed off by the sim instructor as proof.
As has been said, it will not count towards your total hours, however, it could end up being useful in other ways. One question that is almost certain to come up at an airline interview is "what have you done to keep current?". When I was in that situation, I got my stamped logbook out and showed 20 hours in a 737 sim (I got these for free as a "sit in" for an MCC to make up a pair for a lone student at my old FTO) to a hugely impressed looking chief pilot. I got the job.