Self-righteous person parking oddly (4)
I believe the answer is:
prig
'self-righteous person' is the definition.
(I've seen this before)
'parking oddly' is the wordplay.
'oddly' means one should take alternating letters (letters in odd-numbered positions).
The alternate letters of 'parking' are 'PRIG'.
(Other definitions for prig that I've seen before include "Strait-laced chap" , "Self-righteous hypocrite" , "Over-fussy and self-righteous type" , "Stuffed shirt" , "Snooty type?" .)