Answer: fesses

AnswerCrossword Clue
FESSES

Comes clean, with "up"

FESSES

.. up (admits)

FESSES

Owns (up)

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