carry, luck, destiny, fate, lot, transport, progress, advance
運 centers on movement that carries things forward: physically transporting something, or the abstract sense of fate and luck that carries life along. Progress and advance are natural extensions of this forward motion.
運 combines 辶 (movement) with 軍, which likely contributes the sound ウン and the idea of a large organized group in motion, originally referring to transporting military supplies. The abstract meanings of fate and luck developed from the idea of things being carried along by a larger force.
The movement radical 辶 wraps around 軍, like a convoy of military vehicles carrying supplies. Picture this organized movement as the force that transports things and also carries your fate forward.
For ウン, imagine a lucky 'un (one) in a million chance: 'un -> ウン, and that stroke of luck carries you forward.
operation (of a machine); running; working
exercise; physical training; workout; sports; athletics
management; administration; operation
fortune; luck; chance
making use of; application; practical use; effective management (e.g. of funds)
fate; destiny; lot
to carry; to transport; to move; to convey
operation (of a bus or train service); service; running
progress; pace; carriage; step; stage
good luck; fortune
athletic meet (esp. at a school); sports day; field day; sports festival
(passenger) fare
transport; freight; shipping; moving (goods)
transport; transportation; conveyance; carriage
misfortune; bad luck; ill luck; ill fortune
transportation
(navigable) canal; waterway
suspension (of a transportation service); cancellation; stoppage
operation (of a ship or aircraft route); service; navigation; flight
opportunity; chance; good time (to do)
trial run; test run
maritime transport; shipping
fate; destiny
Ministry of Transport
labour movement; labor movement
social movement
Committee on Rules and Administration (Diet); House Steering Committee; Standing Committee for House Management
lack of physical exercise; insufficient exercise; inactivity
sports ground; playing field; playground
luckily
driver's license; driver's licence; driving licence
(professional) driver (of a taxi, train, etc.); motorman
driver; chauffeur
election campaign; political campaign; campaigning; electioneering; canvassing
drunk driving; drink-driving; driving while intoxicated; drinking and driving; driving under the influence (of alcohol)