Archaeology is not restricted on caves, but caves are quite important, as they provided protection for all kinds of archaeological remains. There are some institutions on the world which have specialized on cave archaeology for this reason. This list is far from being complete.
CAIRN is a nonprofit organization with the goal to identify, document, and protect archaeological sites within caves. Its members are cavers and archaeologists.
De la Préhistoire à la période contemporaine, l'histoire, la vie quotidienne et les savoir-faire sont présentés par les plus grands spécialistes, à travers des parcours accessibles à tous.
A page provided by the Ministère de la Culture and the Musée d'Archéologie Nationale.
Only in unfortunately.
The NCKRI is an institute of New Mexico Tech. As a cave related institution their view on archaeology is also cave related. They offer introduction texts, links, and detailed information on famous painted caves.
Southern Californian archaeology by the San Diego Archaeological Center. The Cave Research Foundation project was started in the 1960s by archaeologist Patty Jo Watson. The site offers numerous resources on the archaeology in the caves in Southern California.
The Cave Archaeology Group (CAG) assists members of the caving community become aware of and promote interest in the existence of archaeological and palaeontological remains, in and around caves. Unfortunately the website has no webmaster for almost 10 years, it is provided as "Archived Web Site".