Within the context of this quote, and your conversation with the poster:
Wish I can help more but I got work tomorrow and my eyes need to be ok.
Combined with the posters earlier comment:
am about to go sleep
The implication is that they need to get some sleep before they go to work tomorrow.
I believe this boils down to the fact that if you are tired, or suffer from sleep deprivation, often your eyes feel "tired", or fatigued. Often, eye fatigue is attributed to staring at computer screens for long periods of time without breaks:
Your eyes might get tired easily if you stare for long periods at a computer, smartphone, or game console. The eye doctor might call this computer vision syndrome or digital eye strain.
Its not (in my opinion) an overly used phrase (certainly I rarely hear it). I would expect its usage to be limited to situations where your eyes are already fatigued, and you need to spend a period away from the source of the irritation, or if the task you are referring to is on that might exacerbate eye strain.