Using 'suck up' can imply a person is being insincere or manipulative for personal gain. Everyone knows she's sucking up to the teacher, even though she doesn't like him.
Pro Tip 2/3
Informal Speech
'Suck up' is used in casual or informal conversations rather than formal settings. I can't stand how he always sucks up to our coach.
Pro Tip 3/3
Perceived Negatively
When someone is labeled a 'suck up', they're often viewed unfavorably by peers. The other interns don't like him because he's a blatant suck up.