A BLM at 125 is not bad, the ECU is pulling alittle fuel to hit it's target.
If all your other settings like Fuel Pressure are good I would say drive it.
How do the BLM's look beyond the idle cell? Are you looking at BLM's on a scanmaster or Powerlogger? I like to see all the cells in Powerlogger, gives a full picture of what the other cells beyond idle are doing.
Also, depending on which chip you have and your environmental temperature, a swing of +/-3 on the BLM's is normal for me to see on my cars. I see anywhere from 126-131 depending on if I am driving the car in 100 degree summer temps or 30 degree temps.