It could be a number of things.
Have you cleared cookies and history?
Are you running any other applications when trying to log into live chess? Like media players,
sending/receiving emails? current downloads?
What type of connection do you have to the internet? adsl ? wifi ? dial up?
Was this in live chess using live chess basic? live chess premium?, from facebook or using the downloadable desktop client?
Which browser are you using and what version is it? (please be accurate on this)
Were you in live chess 3 playing more than one game at the same time?
for the last few days my games are getting constantly disconnected.. is someone else facing the same problem.. i get disconnected then have to connect back manually again.. my internet connection is fine so no issues iwth that