Used more in casual talk among friends or family, not in professional settings. Tom, don't get above yourself just because you won the game.
Pro Tip 2/3
Negative Connotation
This phrase is a criticism; it means someone is arrogant or has an inflated ego. She's starting to get above herself, ignoring everyone's advice.
Pro Tip 3/3
Humility Reminder
It's a way to tell someone to remain humble and not overestimate their importance. You did well, but don't get above yourself - you still have much to learn.