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:

• wait
• run
• smile