The game's clock started on January 29, 2410 OEC, or Stardate 87076.7 (give or take a few points). It is now Stardate 88061.9, which is almost one year later. So unless you're some freakishly short-lived species, I highly doubt your character is going to look much different than they did when you started playing.
Though yes, if I do make it to playing that long, my characters will go through subtle changes with aging effects. I just doubt that he's going to look much different between 31 and 32. If he were... well, I'd be freaking out right about now.
Most of my BOffs (except helmsman) have matured (medical officer lost his gut, science officer put hair in bun and started using new makeup, security officer gained a scar and shorter hair, chief engineer changed hairstyle, etc.) but my character has largely remained the same. I was going to switch them all to MU uniforms and give the guys beards/scars and the women big hair and sexier poses, but now that MU uniforms are FOTM, I'm going to wait.