While Griff's emphasis is on NOT starting on beat 1, moving the lick changes more than the start. The duration of notes as 2 -1/8 notes become triplets or vice versa, the way it counts and falls under the fingers. . Interesting. I think there is more to be learned than Just "Dont start on beat 1".
Pat
You only have to change duration if you want the lick to end in the same place as it did before you changed the starting point. Take a lick and change the starting point and don't change any other timing. After you get a lick under your fingers at one starting point, try playing the lick from different starting points and keep the same note durations. It's going to end in a different place. Depending on the lick, it may sound fine at several or all starting points. It may not and you might have to futz around with the note durations to make it sound OK to your ear. It may sound good, but your mental clock doesn't want to go along with it. That's why counting out loud is so important.
After all that, once you have the lick firmly in your grasp and the lick is yours, there is nothing wrong with squeezing or stretching it to fit it where you want it to go. Just like moving punctuation around in a sentence can change the meaning, changing a bit of a lick can completely change the effect it has within a solo.