I presume with it being an 07 model, the winch is a WARN 9.5xp. This model, if fitted by Land Rover, should have an isolation switch fitted. This will be fitted somewhere on the inseide of the vehicle, as already mentioned. his switch controls a solenoid which allows power to be supplied to the winch. once this switch is on, and your controller is connected, you should be able to winch. The clutch position has no effect on whether the remote control should work. (ie you should still hear the motor spinning, but with the clutch to freespool, you wont see the cable drum wind in or out)
If this is not workin, could be a faulty connection somewhere, could be a faulty solenoid in the isolation circuit, could be a faulty controller. If its all fitted by Land Rover, take it back. should be under warranty. If not, any auto electrician will be able to tell you 100% if theres power getting to the winch. From there, they may not specialise in winches, so may not be able to help further. A spark who knows winches should be able to fully diagnose prob.
Sound to me like its either faulty controller, or most likely a power problem. Most times when its a winch problem, you get telltale clicks and strange symptoms, like winches in but not out etc.
Hope this helps