I’ve used both Bick and Saphir for shoes and other leather good with good results but not watch bands.
I know a trick for getting cooking oil out of fabrics is baking soda- apply generously and let it sit and it will soak it up, then brush off. Has anyone tried that on animal hides?

 

If they have, they’ve probably been arrested

 

I use Dubbin or Neetsfoot oil, depending

 

I've used Bickmore Bick 4 conditioner with great results

 

+1 on Saphir products for cleaning/conditioning exotic leathers. I've used both the Saphir Reptan and Saphir Creme Universelle on crocodile straps, as well as on crocodile belts, and they worked great.

 

I tend to keep them one to a pen and feed them well.

 

You won't believe it now, but a conditioner or hair mask works perfectly with animal skin. The results are amazing!