Be chasing (one's) (own) tail American British verb phrase
Used when someone is busy to do a lot of things but achieve little and do not lead to progress
I have been chasing my tail all day, but I haven't finished any tasks.
Used when one wishes to engage in sex with someone
They admitted that they were chasing tail in the bar last night.
The verb "be" should be conjugated according to its tense.
Suggest someone or oneself for consideration in a selection, such as a competition, application pool, election, etc.
Kamala Harris is expected to put her name on the hat for the US president.