Distance from Arduino UNO to LCD: How far?
The actual distance depends highly on several other factors:


Wire thickness / current carrying capacity / resistance
RFI (Radio Frequency Interference) environment
Data rate that you write to the LCD (Maybe you are using an I2C or SPI backpack)


In general, even 5 meters is probably going to work if you use sufficient wiring, but try it and see.

You may also need to add shielding to mitigate RFI.