I get cold hands - more appropriately, a cold right hand - if I'm using a wired mouse. A wireless mouse keeps my hand warm.

That said, the suggestion about fingerless gloves is spot-on. Some folks just get cold easier: For me, cold hands could just be related to hormones (female here). Chronic due to the recurring nature of it all, but seriously not a big deal.

I'd definitely recommend fingerless gloves during the colder months as they do not interfere with typing or trackpads.

Given that I have chronically cold hands only during the winter months, I'll assume that it isn't something that warrants concern.

Indeed - painfully cold hands could be Raynaud's, which is a symptom of a number of syndromes (of varying severity):

https://en.m.wikipedia.org/wiki/Raynaud_syndrome

Just a thought in case it helps someone: a family member of mine always had cold hands, and a doctor prescribed a special prescription antiperspirant. Making his hands dry also made them warmer.

Sweating is a cooling mechanism, so reducing sweating (ceteris paribus) should reduce cooling.