to encourage a person to be cheerful, finish a task etc by making frequent requests etc

chase, follow

to go after (a person, animal, car etc) in order to catch or kill

chase, follow

to look for (a person, thing); try to find; to ask for (something)

look for

to try to get the love of (a woman), especially and marry her; to try to win (fame, support)

seek as romantic partner