1. To carry farther; to advance, or help forward; to continue.
2. To manage, conduct, or prosecute.
3. To behave in a wild, rude, or inappropriate manner.
4. When you carry on, you continue as before, despite a difficult experience in your life.

Carried or suitable for being carried aboard

1 British; carrying-on
2. A piece of luggage suitable for being carried aboard an airplane by a passenger
3. Carry-on, carry-on luggage, carry-on baggage, carry-on bags, and so on, are not given to an airline agent to put in the baggage compartment but are kept in the passenger compartment of an airplane.

When you carry something on an airplane, you keep it with you in the passenger compartment instead of giving it to an airline agent to put in the baggage compartment.