If my earlier suggestion is unable to resolve
the no-connection problem, please try out
the following steps:

(1)Open Limewire program.
(2)Click "Tools" (on the Limewire program)
(3)Click "Options"
(4)Click "Advanced"
(5)Click "Firewall configuration"
(6)Click "Manual Port Forward" (i.e. dot it).
(7)Click "Use UPnP (Recommended)" (i.e. dot it)
(8)Click "Apply"
(9)This message will be displayed:"One or more
options will take effect the next time Limewire is
restored."
(10)Click "OK"
(11)Click "File Association"
(12)Uncheck "torrents" files (i.e. remove the "tick")
(13)Uncheck "magnet:" links
(14)Recheck "torrents" files (i.e. put back the "tick")
(15)Recheck "magnet:" links
(16)Click "Ask me what to do when an association is missing (i.e.
put a dot within the circle)
(17)Click "Always take the selected associations." (i.e. put a
dot within the circle)
(18)Click "Apply"
(19)This message will be displayed: "One or more
options will take effect the next time Limewire is
restored."
(17)Click "OK"
(18)Click "Performance"
(19)Check "Disable Ultrapeer capabilities" (insert a "tick" there)
(20)Uncheck "Disable Ultapeer capabilties" (remove the "tick")
(21)Click "Apply"
(22)This message will be displayed:" One or more
options will take effect the nex time Limewire is
restored."
(23)Click "OK"
(24)If the brick doesn't disappear by now, turn off &
restart your computer.
(25)Open Limewire program & wait a minute or two for the brick
to disappear.
(Sometimes Limewire will display some instructions for you to
adjust the Limewire program. Just click "Next" till "Finish")
(26)If the brick doesn't disappear, CLICK "Options" >""Advanced" >
"Firewall configuration" & copy down the "Listen on Port" number
(this number often changes).
(27)Next, CLICK "Start" (Windows) > "Control Panel" >"Windows
Firewall"(Classic view) > "Exceptions" > "Add Port"
(28)Type Name as "C:\ProgramFiles\LimeWire\LimeWire.exe"
(29)Type in Port Number & select "TCP" (put a dot within the
circle). Click "OK".
(30)Click "Add Port"
(31)Type Name as:"C:\ProgramFiles\ LimeWire\LimeWire.exe"
(32)Type in Port Number & select "UDP". Click "OK"
(33) Click "OK" to close "Windows Firewall"
(34)If the brick doesn't disappear, then go through Steps
(1) to (24) again.

Very often my Limewire Program isn't able to connect
to the Gnutella network. I'm using the above method
as well as the other method in my first post to sort
out the problem & most of the time the brick wall will
disappear & the bars will turn green.
If you're unable to connect to the network after you
tried the 2 methods that I've suggested, perhaps one or
more files in the Limewire program you had downloaded
are corrupted. Search & remove all Limewire files &
download the program again. If the problem still
persists, perhaps the faulty Limewire program that you
had downloaded earlier is still hidden somewhere within
your computer or has replaced your newer Limewire download.
I don't know the steps to search for the faulty Limewire
program (i.e. in case it's still hidden within a hidden file)
& remove it and perhaps a reader who knows
how to do it will share his or her expertise.

If any reader knows of another method to resolve
the problem, please post your solution. Thanks!