What is your purpose? Are you trying to use the LCD to somehow modulate the antenna function, or are you just putting an antenna in proximity to a LCD display?
I had to work close to an LCD display with a monopole antenna once for use in shopping cart handles. There are two types of LCDs: one has a big metal shield on the back, the other does not. So start with figuring out how much metal is in there. For RF purposes, you would want one without much metal in the design, as it detunes an antenna's resonant frequency.
I am not aware of any strong interaction between an LCD and microwaves other than high power microwaves can "activate" the LCD material. I have seen papers on a sheet of LCD being used to find microwave radiation "hot spots". So there is a visual indication, but I do not think the LCD modifies the microwaves much.
Rich