Name given to stone or cactus (5)
I believe the answer is:
nopal
'cactus' is the definition.
(nopal is a kind of cactus)
'name given to stone' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'given to' is a charade indicator (letters next to each other).
'stone' becomes 'opal' (I've seen this before**).
'n'+'opal'='NOPAL'
'or' acts as a link.
(Other definitions for nopal that I've seen before include "Prickly type" , "Prickly pear cactus" , "Prickly growth" , "Mexican cactus" .)