Yes, Damascus barrels.
The metal finish seems to be all original. Action & lock plates worn to a nice patina with some faded case color in the protected areas.
Damascus is not badly worn, just some age and use fading of the Damascus. Barrels and chambers are bright & shiny, no evident wear.
Buttstock has been refinished tho shows pretty well in spite of that.

This one has a 5 digit W&C Scott number ahead of the fore end loop that dates to 1881. So the rifle was likely bought in from W&C Scott then final appointments by Holland & Holland.
- Mike

Glamour shot: