I wrote to Jawbone about the difficulty of removing the charger from the headset. I thought the response might help others who have the same issue:

From Jawbone:
To remove the USB charger cable from the Jawbone properly, perform the steps listed below:

1. With the top of the Jawbone facing up, hold the Jawbone in one hand.
2. With your other hand, grasp the cap of the USB charger cable on the top and bottom (not the sides) with your thumb and forefinger.
3. Gently bend the cap of the USB charger cable downward and away until the Jawbone is disengaged. (Note: Do not pull the charger cable straight off laterally using a lot of pressure, as this may damage the charger pins.)