move on

verb5

1. •
   To continue; to proceed; to go on.

   • After spending the night resting in an abandoned church, the group decided to move on in their quest.
2. •
   To start dealing with something else.

   • The best revenge is always to just happily move on and let karma do the rest.
3. •
   To physically move something or someone.

   • The police moved the protestors on.
4. •
   (informal) To attempt a seduction, often in a way seen as disloyal or rude to another.

   • I think Shane is going to move on my ex tonight.
5. •
   To assault or attack.