chase the dragon

chase a rainbow

To pursue something illusory, impractical, or impossible.

chase after

To pursue someone with romantic intentions; to woo.

chase away

To get rid of.

chase off

To drive someone or something away.

chase one's tail

To busily try to perform many tasks or to repeatedly revise one's plans, especially with inefficient use of one's time and limited results.

chase rainbows

To pursue unrealistic or fanciful goals.

chase tail

To be on the hunt for a (usually sexual) partner.

cut to the chase

To get to the point; to get on with it; to state something directly.