1.
If you ~ doing something, you continue to do it.
The assistant carried on talking...
Her bravery has given him the will to ~ with his life and his work...
His eldest son Joseph carried on his father’s traditions...
‘Do you mind if I just start with the few formal questions please?’—‘Carry on.’
= continue
PHRASAL VERB: V P -ing, V P with n, V P n (not pron), V P
2.
If you ~ an activity, you do it or take part in it for a period of time.
The consulate will ~ a political dialogue with Indonesia...
= conduct
PHRASAL VERB: V P n (not pron)
3.
If you say that someone is carrying on, you are irritated with them because they are talking very excitedly and saying a lot of unnecessary things. (INFORMAL)
She was yelling and screaming and carrying on...
He was carrying on about some stupid television series.
= make a fuss
PHRASAL VERB: V P, V P about n disapproval