Authority figure wanting a pipe and new trousers (10)
I believe the answer is:
lederhosen
'trousers' is the definition.
(I've seen this before)
'authority figure wanting a pipe and new' is the wordplay.
'authority figure' becomes 'leader'.
'wanting' suggests deleting specific letters (to want something can mean to lack it or need it).
'pipe' becomes 'hose' (I've seen this before).
'and' means one lot of letters go next to another.
'new' becomes 'n'.
'leader' with 'a' taken away is 'leder'.
'leder'+'hose'+'n'='LEDERHOSEN'
(Other definitions for lederhosen that I've seen before include "Bavarian leather shorts" , "Alpine shorts" , "pants" , "Short leather trousers with braces" , "trousers displayed" .)