@AlphaCentauri @th3j35t3r posted about this a few days ago:
1) Create a new Twitter account no identifying names etc.
2) Go to the account you're trying to obscure & change ur @/handle to make it available.
3). QUICKLY Go to the new account and change it's @/handle to ur original @/handle
4). Deactivate your original account.
Eventually your original data will cycle out of their backups & nobody can take your handle.