Aries is ruled by Mars which is the planet of passion. And they are the ones who put their wants above anything. So if you are their want, they will chase you.
They will not stop to make efforts and get you. Once they fall in love with you, they will don their best to get you and your attention.
Gemini is a social sign and the curious one and if they get interested in you, they will most likely want to know everything about you and they will chase you for this.
They are ruled by Mercury, which is known to chase Venus, so it is obvious that they are the chasers. Surely they chase but they can get bored too.
Cancer is mostly reserved but if they find you to be on the same mental level & trustworthy, they will most likely chase you & get you.
They are very intense with their feelings and their wants, so they will do their best to win you and will do anything to get your attention.
The mysterious zodiac sign is the one who is not fixed on people but if they desire you, they will chase you. They will get interested in you and want to know everything about you.
If you caught their attention and they start to like you, they will do everything to get your attention and get you. So try to put boundaries on time, as they are very intense.