Your post leave quite a bit of guesswork to the reader(type of bike? parts used? etc), but I assume that the heart of it is that your levers aren't returning all the way to their resting position. This is a so-so issue. Flat bar levers regularly have a feature that allows the rider to adjust their resting position to a preferred point within his/hers reach, but drop bar levers as a rule haven't got this.
My main concern is that while the symptom in itself isn't that bad, it's an indication that something in your brake system isn't set up properly - and then it's anybodys guess what that fault can lead to further on... Maybe the cable coming out of a cable stop, putting the brake entirely out of operation? Something chafing badly and getting ready to snap unexpectedly?