No, your CCL is simply a non-resident CCL. Now, it does depend on where you now call home.
I moved from FL to TEXAS a few years ago; still use my FL CCL to legally CC in TEXAS. But, TEXAS reciprocity laws recognize someone with a non-resident FL CCL as legal to carry.
According to FL law, all you are required to do is notify the CCL admin in FL of your new address. You can pay to have your CCL updated and a new ID issued. But, you aren't even required to do that by FL.
So, check your reciprocity map for the state you now live in for a non resident FL CCL to serif it's still valid. If it is valid, simply mail a letter to FL Department of AG. and Consumer Services Division of Licensing to update your residence.
Go to: http://j.mp/Z7upuF to research further.
Rules may have changed since I moved from FL, but it was a simple process when I did it back in 2009.
I am planning on getting a TEXAS CHL sometime this year—but, mostly due to my bride wanting me to do the class with her when she gets hers. And, it probably is a good idea to study and acquire you new state concealed license at some point. BUT, you might be able to put that off for a while IF your resident state honors the non resident FL CCL.
Either way, good luck and GOD bless!