Some folks have issues with tattoos in general, which would overshadow whatever watch you wore, or even if you wore one, for that matter. I have full sleeves and wear my shirt sleeves rolled up (short-sleeved shirts/or none in the summer), for the most part. I think watches look great over tattoos, but then I like tattoos. If you decided to do full sleeves, you could really incorporate changes in the design where your watches strap on in order to accentuate that specific area. That would look great!
Lastly, tattoos are a personal thing, usually a graphical way to reflect past life experiences, so just go with what 'you' want/like.
Will take some photos as soon as I have some spare time.
PS (body-suit tattooed) Tattoos can be painful to have done in certain areas