Copper, uncontrollable, not given to supporting investigation (7)
I believe the answer is:
curious
'to supporting investigation' is the definition.
I can't tell whether this defines the answer.
'copper uncontrollable not' is the wordplay.
I cannot quite understand how this works, but
'copper' could be 'cu' (Cu is the chemical symbol for copper) and 'cu' is found in the answer.
'not' could be 'o' (I've seen this in other clues) and 'o' is located in the answer.
This explanation may well be incorrect...
'given' is the link.
Can you help me to learn more?
(Other definitions for curious that I've seen before include "Strange, unusual" , "Intrigued" , "Odd - inquisitive" , "Keen to learn" , "with a great deal of interest!" .)