The demo undress scene + guide below might help if you need to learn how to setup a trigger. It shows the process of setting up one for just a button, and uses "weight" rather than "distanceScale", but it's got most of the basics covered.
LogicBricks does have the Timer and RandomTimer plugins which could help, but you could also just use the built-in trigger system which also has a timer. If you look at the "4.3" image from that guide you'll see the UI elements for that.
Just enabling "Use Timer" will make things activate instantly at the elapsed "Timer Length". If you also enable "Use Second Point" you can have a transition over time from one value to another. Changing the "Timer Type" to "Linear" and "Second Point Location" to 0 will make it a simple A to B transition. So you could have something like "Second Point Value" for "distanceScale" be 1 then "value" at the top be 2, then when the trigger activates you should see the clothing spread out smoothly over time.
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