Welcome
You sure must have carried for a good long time I'll guess, to see any real wear or loss of CF finish. I can't see much option for refinishing as such and yes, AFAIK or recall, the pattern is ''thru and thru''.
For now anyways I'd think as Newt - re some small application of a wax polish to help luster. Other thought but not one I'd implement without checking first - might be use of rouge and a buffing wheel but not sufficient to produce excessive heat thru friction.
