Hello again.
I just removed all indicated folders, checked if I have python-indicate installed (i have it) and the error it gives is:

mihai007@mihai007-laptop:~$ gwibber-service -d -o
Updating...
Gwibber Dispatcher: DEBUG    Setting up monitors
Gwibber Dispatcher: DEBUG    Monitors are up
Gwibber Dispatcher: INFO     Gwibber Service is reloading account credentials
Gwibber Dispatcher: DEBUG    Refresh interval is set to 5
Gwibber Dispatcher: DEBUG    ** Starting Refresh - Wed May  5 09:53:05 2010 **
Gwibber Dispatcher: DEBUG    <twitter:responses> Performing operation
Gwibber Dispatcher: DEBUG    <twitter:receive> Performing operation
Traceback (most recent call last):
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/network.py", line 32, in __init__
    self.curl.perform()
error: (6, 'name lookup timed out')
Gwibber Dispatcher: ERROR    Failed to communicate with https://twitter.com/statuses/mentions.json?count=200
Gwibber Dispatcher: ERROR    Failed to parse the response, error was: No JSON object could be decoded
Gwibber Dispatcher: ERROR    <twitter:responses> Operation failed
Traceback (most recent call last):
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/network.py", line 32, in __init__
    self.curl.perform()
error: (6, 'name lookup timed out')
Gwibber Dispatcher: ERROR    Failed to communicate with https://twitter.com/statuses/home_timeline.json?count=200
Gwibber Dispatcher: ERROR    Failed to parse the response, error was: No JSON object could be decoded
Gwibber Dispatcher: DEBUG    Traceback:
Traceback (most recent call last):
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/dispatcher.py", line 75, in perform_operation
    message_data = PROTOCOLS[account["protocol"]].Client(account)(opname, **args)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 146, in __call__
    return getattr(self, opname)(**args)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 155, in responses
    return self._get("statuses/mentions.json", count=count, since_id=since)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 136, in _get
    if data.has_key("error"):
AttributeError: 'str' object has no attribute 'has_key'

Gwibber Dispatcher: ERROR    <twitter:receive> Operation failed
Gwibber Dispatcher: DEBUG    Traceback:
Traceback (most recent call last):
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/dispatcher.py", line 75, in perform_operation
    message_data = PROTOCOLS[account["protocol"]].Client(account)(opname, **args)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 146, in __call__
    return getattr(self, opname)(**args)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 149, in receive
    return self._get("statuses/home_timeline.json", count=count, since_id=since)
  File "/usr/lib/python2.6/dist-packages/gwibber/microblog/twitter.py", line 136, in _get
    if data.has_key("error"):
AttributeError: 'str' object has no attribute 'has_key'

Gwibber Dispatcher: DEBUG    <twitter:private> Performing operation
Gwibber Dispatcher: DEBUG    <twitter:private> Finished operation
Gwibber Dispatcher: INFO     Loading complete: 1 - ['Failure', 'Failure', 'Success']





Now looking at it for a while, it says:
error: (6, 'name lookup timed out')
Gwibber Dispatcher: ERROR    Failed to communicate with https://twitter.com/statuses/home_timeline.json?count=200
Gwibber Dispatcher: ERROR    Failed to parse the response, error was: No JSON object could be decoded

I just checked the indicated url in firefox, and after providing username/pass, I receive the mentions.json file without any problems. I will attach the file just to see what response twitter gives back from that url.