maybe you can (not yet probably) register another account with the old handle and make it kind of redirect (via description pointing to it) to your new one.

writen by Benedikt
so, I was already following @wbetiago, because you renamed the previous one. I’m following also @wbepodcast now

writen by Luca Restagno (ikoichi on Twitter)
Haha. Well the wbepodcast is deprecated. But I was just wondering if it was a bug from Twitter or smth that followed my old account

writen by Tiago Ferreira
Create a new account with the old handle. It’s ok, Twitter will automatically assign old tweets to both the old and new handles

writen by Daniel Nguyen
So was it not necessary to create a new account with the hold handle? Would Twitter still forward the tweets?

writen by Tiago Ferreira
You still need to create a new account with the old handle. There is no ‘forwarding’.

writen by Daniel Nguyen
But you will be notified if someone reply to your old tweets (from old handle) for example

writen by Daniel Nguyen