Common mineral, sometimes translucent and of gem quality (6)
I believe the answer is:
zircon
(Other definitions for zircon that I've seen before include "Mineral such as jacinth" , "Mineral of gem quality" , "Mineral used as a gemstone in its transparent form" , "Bluish gem cut form translucent mineral" , "Bluish-white gem cut from translucent mineral" .)