The FAH client creates a new log every time it is started. It defaults to keeping the previous 16. You should already have a log of what you're talking about.
Follow this
link for instructions on locating your log files.
I would try "Method 1" first, just get the data from Advanced Control.
Method 3 would be my next try, the link in the start menu should take you to your current FAH data directory.
Method 2 needs updating, the default data directory changed with release 7.6.21 to %ALLUSERSPROFILE%\FAHClient
Other notes
By "time remaining" are you referring to the ETA, tpf, timeout, expiry or something else?
When is it happening? At the start of a new work unit, shortly after booting your pc, some other time.