Answer:

FESSES

Answer	Crossword Clue
FESSES	Comes clean, with "up"
FESSES	.. up (admits)
FESSES	Owns (up)

FESSES	Admits, with "up"
FESSES	Heraldic bands.
FESSES	... up (admits, for short)
FESSES	Admits (with "up")
FESSES	Owns (up to)

Crossword

a puzzle consisting of a grid of squares and blanks into which words crossing vertically and horizontally are written according to clues.