There are several things that could cause this issue depending on the version of android/phone. I'll start with the easiest.
1. Unplug your router and forget your wireless network on your device, plug router in, re-connect.
2. log into router and remove network security, forget network on phone and then connect again. if so change to wep. or wpa
3. log into router and do a firmware upgrade to make sure router is up to date.
4. test-ipv6 dot com will let you know if IPV6 is active with your ISP. If so
select your wifi network, advanced options, modify, change DHCP to Static.. then connect. Most likely the issue since This is only big deal with versions below 4.3.
IT connects for a moment the way it is because it is waiting to get an ipv6 address. Once it doesn't get it... It acts like a wifi network would if the internet itself wasn't working. Even without internet you can connect to your router but aren't going anywhere. Verizon is IPV6 active and some things like Gmail, playstore will not operate unless this is done it will just say something like network error.
Hope you don't have to get all the way to number 4.
