Have a job doing/to do something - Idioms by The Free Dictionary
have a job doing/to do something
have a job
To struggle to do something (which is stated after "job"). I'm having a hard job getting a passing grade in math this semester—I guess I need to find a tutor.
have a (hard/difficult) job doing/to do something find it difficult to do something: I had a job getting to work on time this morning. The traffic was terrible. ♢ He had a hard job to make himself heard.