Connector to temporary connect SMD IC?
Common practice is to use a ZIF adapter, aka programming socket adapter, test socket, etc, for the relevant IC form factor. For SOIC 16 through 24, for instance, this adapter ($13.99 on eBay) can be used:



Such ZIF sockets exist for several standard SMD IC formats.



The resin-like conducting strips used in LCDs are called elastomeric connectors, and are available in various pin pitches:



These can be purchased in long strips and cut up for use on a DIP adapter, but there don't seem to be any such adapters available on the sites I know of.