LCD TV blinks when freezer blinks
It could burn down your house. That shouldn't be a problem for good wiring, so I'd say you have a wiring problem to the outlet.  The momentary demand of the motor starting is making voltage drop enough to bother the TV. The voltage drop is making heat somewhere you don't want it. 

Worst case, it's at the location of a wiring fault. There won't be enough heat for you to feel it on the outside of the wall, but potentially enough to kindle a fire if it's near anything flammable like dust bunnies. 

Most likely it's one of the outlets.  Not necessarily this outlet, it could be another outlet upstream - outlets are daisy-chained. If you turn off the breaker to that outlet, check what other outlets have also gone out.  That will show you the "daisy chain" that is involved.  (it goes without saying to shutdown your PCs before you start shutting off breakers.) 

Can you borrow a socket checker and a Kill-a-Watt and look for anything funny electrically?  Once you've identified the daisy-chain of outlets, a significantly different voltage from one outlet to the next (while the freezer is running) would mean you're close to the problem. 

Outlets are $4 for a good one (58 cents for a cheapie) and it's a reasonably easy DIY project if you school up and are careful.  Food for thought.