with one eye on

with one eye on (something)

While giving something one's intermittent or partial attention. I hurried to finish the report with one eye on the clock. She shoveled fuel into the boiler with one eye on the pressure gauge.
See also: eye, on, one
Farlex Dictionary of Idioms.

with one eye on

giving some but not all your attention to.
1977 Craig Thomas Firefox With one eye on the JPT (jet-pipe temperature) gauge he opened the throttles until the rpm gauges were at fifty-five percent and the whine had increased comfortably.
See also: eye, on, one
Farlex Partner Idioms Dictionary
See also:
  • with one eye on (something)
  • one eye on
  • one eye on (someone or something)
  • pay to (do something)
  • pay to do
  • half an eye
  • whip away
  • at (one's) doorstep
  • at doorstep
  • at the back of your mind