I have three TPs. One has CyanogenMod loaded as well. The other two work fine. The one with Android will connect to wi-fi OK, but will not connect to the Internet, in either CyanogenMod or WebOS. It always seemed a little flakey on Internet connection, but only recently has refused to connect to the Internet at all, even though it is connecting to my wireless router.
I found lots of "No Internet Connection" threads, but didn't see one that resembled this.