Answer:

egos

Answer	Crossword Clue
EGOS	Braggarts have big ones
EGOS	Selves
EGOS	Freudian concerns

EGOS	Freudian topics
EGOS	Head swellers
EGOS	Inflatable items, perhaps
EGOS	Many stars have big ones
EGOS	Much-bruised items
EGOS	Psyches
EGOS	They're often inflated
EGOS	Central parts of the psyche

EGOS	Freudian subjects
EGOS	Sense of pride
EGOS	Compete
EGOS	Big things on a movie set
EGOS	Self-images
EGOS	Teamwork obstacles
EGOS	They're big in Hollywood
EGOS	Narcissists' concerns

EGOS	Self-promoters
EGOS	Individualists?
EGOS	Problems for a team
EGOS	Psyches, in part
EGOS	Teamwork wreckers
EGOS	Me, myself, and I?
EGOS	More than one I
EGOS	Teamwork thwarters

EGOS	Hollywood clashers
EGOS	I's
EGOS	Flattery quells them
EGOS	Swelled heads
EGOS	Ids' companions
EGOS	Conceits
EGOS	Self promoters?
EGOS	Alter ...

EGOS	Strong ones tend to clash
EGOS	Roadblocks to a compromise, often
EGOS	They're bruised by humiliation
EGOS	They're big among bigwigs
EGOS	Personality-clash causes