Zelandakh, on 2013-November-12, 10:30, said:
Louis, what would a 3♣ rebid by West have meant instead of 2♣?
Yeh, I was accepting 2C as a condition, but now that the OP seems to have gotten his input, here goes an offshoot.
Many players have long-ago advocated the rebid of Opener's minor by the overcaller any time advancer has not shown a fit to be a 5+ actual suit. Mike Lawrence wrote about it; for all I know he still believes in it. When overcaller rebids a natural Cue in Opener's minor, the 1M overcall becomes suspect as perhaps only 4 cards in length as well.
So, a 3C rebid by West would indeed (for us) have been a game-raise of the 1NT advance, checking for actual Club control.