Do something new in November and at end of June (8)
I believe the answer is:
innovate
'do something new' is the definition.
(I've seen this before)
'in november and at end of june' is the wordplay.
'november' becomes 'nov' ('Nov' can be a synonym of 'november').
'and' means one lot of letters go next to another.
'end of' says to take the final letters.
The final letter of 'june' is 'e'.
'in'+'nov'+'at'+'e'='INNOVATE'
(Other definitions for innovate that I've seen before include "Introduce novelties" , "Pioneer" , "Introduce new way of doing things" , "Make something new" , "Introduce changes" .)