the 629-1 was made from about '81/2 (first non-pinned/non recessed, though the 629-0 was very short lived) to about '86/7. This coincided with S&W really improving quality from the bad '70s era and their first generation CNC equipment. Most 629-1's I have seen are of superb quality (I own one, a 3"). Any of them would have come stock with wood grips. Most would have had walnut checkered target stocks (4" and up). Price goes from $1k (3" with GA wood combat grips) down to $600 for a 8 3/8" with walnut targets. If the gun is good, the price is cheap no matter the other details (barrel length, grips, etc).
The only marginal criticism of them, is that if you intend to shoot a large number of full-powered .44 mag loads, they won't last as long as the larger/clumsier Rugers, or the latter (-3 and above) versions with the "endurance" features of a deepened locking notch/bolt, and redesigned ratchet and hand. This point is really unimportant unless you are looking at extensive competition with full-pressure ammuntion or desire to use overpressure .44mag ammunition. If those two things are important to you, then I would recommend a different model/maker.
Quality is on average very good or better, grips are quality (if original), handling is good, and condition can be little diminished because of the SS construction. It's a buy unless something is wrong when checking it out.