Turning up readily at first, struggle with range (7)
I believe the answer is:
purview
'range' is the definition.
(I know that purview is a type of range)
'turning up readily at first struggle with' is the wordplay.
'turning' is a reversal indicator.
'at first' suggests taking the first letters.
'struggle' becomes 'vie' (to vie is to struggle or contend with).
'with' becomes 'w' (short for with).
The initial letter of 'readily' is 'r'.
'up' in reverse letter order is 'pu'.
'pu'+'r'+'vie'+'w'='PURVIEW'
(Other definitions for purview that I've seen before include "Ken" , "Range (of experience/thought)" , "Scope of concern" , "... experience range" , "Range of thought" .)