The Clawshot is a special item in Twilight Princess. As against others you cannot move normally while the clawshot is traveling.
With L-Slides though it is possible to travel small distances in every direction while the clawshot is moving. These slides can add up to a lot of potential timesave, especially in Palace of Twilight.
1) Equip the clawshot and aim at the position / item you want to target.
2) Shoot clawshot.
3) As soon as the clawshot is out, hold the analog stick in the direction you wanna move.
4) Hold L.
The camera will move behind Link and the slide will start until the clawshot is back.