One of the common (and irritating) mistakes riders make in a
paceline is accelerating while taking over the lead position.
Maybe it happens because riders don't want the others to think they
can't handle the speed. Rather than risk slowing down, they overcompensate
by speeding up.
The correct way is to maintain the same speed as the former leader
pulls off.
Then you move forward, in effect, because that rider slows slightly to
drop back.
If you accelerate through the front, gaps open between riders behind
you. There's yo-yoing as they close back up. This wastes energy and can
even cause wheels to touch. You won't win any friends.
It's easy to do it right. As you ride in
second place, quickly glance at your computer. Maintain that speed as you
take your pull. After a few seconds, you can smoothly up the pace or
back off, depending on conditions.
Smooth riding = Safe
riding.