You can take a verb like one of these:
- call (someone)
- push (something)
- try (something)
...and make it into an expression with "give ___ a ___":
Give me a call when you get in.
Give it a push.
Go ahead and give it a try.
This means to try to do something. It sounds friendly and casual.
You can't do this with verbs that don't have objects, though, like these: