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up himself 

Or herself. Full of his own importance; self-absorbed; conceited; precious about his talents or significance.

British slang.
Stephen Fry: revered by some, considered pretty much entirely up himself by others.
up himself by Ruffcutt March 8, 2012
Related Words

all up on himself 

Selfish; to not be compared to anyone else
He is all up on himself.
all up on himself by -farmer62 September 23, 2016