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.
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?" .)