... like mine (3)
I believe the answer is:
dig
I believe this clue is a double definition.
'like' is the first definition.
(to dig can mean to appreciate or 'get')
'mine' is the second definition.
(I've seen this before)
(Other definitions for dig that I've seen before include "Go into" , "Loosen or turn up earth" , "critical remark" , "Loosen, or remove earth" , "Really like" .)