I use little tacks from the local hardware store (I think they are 18 gauge). I pre-drilled the inlay, make a tiny countersink, carefully hammer in the tacks, then file the head of the tack down flush with the inlay. I really don't know how traditional that method is, but it has worked fine and looks the part.
Silver wire might be a bit more PC. The Gunsmith of Grenville County book explains a procedure to form a head on the wire to use that method. Some even glue or epoxy the inlay in addition to mechanical fasteners, but probably not necessary.
Screws are common and traditional too, as shown on flehto's rifle, but I've never shot a rifle with screws in the cheekpiece and was worried they might irritate my cheek.
On the rifle shown below, I did final fitting before finishing up the stock, and installed the tacks as a very last step before staining so I didn't bugger up the inlay while finishing up the surrounding stock. I then filed the inlay perfectly flush with the stock at the same time as filing down the heads. This cause some shading or "staining" of the surrounding wood with the silver shavings that I wasn't able to remove 100% by sanding, but once the stain was applied it all disappeared.
PS - Is anyone else jealously irritated by flehto's modesty??
:grin: