Religious teacher with degree needing his hair restyled (9)
I believe the answer is:
maharishi
'religious teacher' is the definition.
(I've seen this before)
'degree needing his hair restyled' is the wordplay.
'degree' becomes 'ma' (Master of Arts is a type of degree).
'needing' says to put letters next to each other.
'restyled' indicates an anagram.
'his'+'hair'='hishair'
'hishair' is an anagram of 'harishi'.
'ma'+'harishi'='MAHARISHI'
'with' acts as a link.
(Other definitions for maharishi that I've seen before include "Religious teacher" , "Religious leader" , "Spiritual teacher" , "Hindu instructor" , "leading teacher" .)