Based on how long is a piece of string, the economic stupidity levels of this government, the ever changing political environment, international currency speculation, and of course the faithful seaweed guide, I'd say, if I was a gambling or speculation man, that the lira has further to fall ... now how much will depend on said length of string, stupidity levels, politics, and wetness or otherwise of seaweed... I'd therefore take a punt that it will fall somewhere south of 3.8TL to £, but for a more accurate assessment I'd look at the TL to $ or euro rate.
As a certain Mr K Marx noted:
It is absolutely impossible to transcend the laws of nature. What can change in historically different circumstances is only the form in which these laws expose themselves.