In the dry it is easy to get the Elise maximise its grip, if very counter intuitive for most drivers.
What it asks you to do is to take up the suspension movement and then turn in under a trailing throttle and wait.... when the back end starts to slip feed power on to transfer weight (and grip) to the rear. To much throttle will make the car to run wide with understeer, to little and the rear will continue into a spin.
Most drivers do not apply more throttle when they feel the car going at the back end. Instinct makes them come off the power and then the back end of the car if unmanageable.
To drift the Elise just wait a fraction longer before applying the throttle. That said it the slow option.
In the wet the balance between supporting the rear and asking the rear tyres to do too much, so having a power spin is very tricky and shutting the throttle just makes the situation much worse.