engaged

(s) having ones attention or mind or energy engaged
- she keeps herself fully occupied with volunteer activities
- deeply engaged in conversation
occupied,
(s) involved in military hostilities
- the desperately engaged ships continued the fight
(s) reserved in advance booked, set-aside,
(s) (of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; ("engaged" is a British term for a busy telephone line)
- her line is busy
- receptionists' telephones are always engaged
- the lavatory is in use
- kept getting a busy signal
in use, busy,
(s) (used of toothed parts or gears) interlocked and interacting
- the gears are engaged
- meshed gears
- intermeshed twin rotors
intermeshed, meshed,
(s) having services contracted for
- the carpenter engaged (or employed) for the job is sick
(s) built against or attached to a wall
- engaged columns

occupied booked set-aside in use busy intermeshed meshed

engage