In BOM I always use the BA lounge when travelling CX (through my entitlement as a OW Sapphire).
The BA lounge is great because it's never crowded as the BA flight leaves much later than CX, so it starts to fill up only around the time that you leave the lounge.
The Clipper lounge, which is the designated CX lounge, as the previous poster mentioned is a disaster. It is shared by 6 or 7 airlines, overcroweded, and uncomfortable. If you're a CX SL, you'll have no choice but to use this (but honestly, you're better off going to Coffee Bean or somewhere else).