I have 3 level 100 characters that pretty much complete everything except Super Bosses but I never pick Restless Remains as my first choice for hand armor.
When I want to sustain my character with life steal I would pick Consecrated Wrappings for attack speed while using other mean to get Life-steal %. And when it come to mage I would want some OA so I would pick Spellwoven Threads.
In which case should I pick it over other components?
It’s kinda wierd, really.
First, 3% ADCTH alone is far better that 5% attack speed on Consecrated wrappings.
Second, if you have a caster build with weapon damage (Forcewave, Callidor’s Tempest, etc), then cast speed will be great too.
I’d say, for many build, that uses Weapon Damage, Restless Remains are BiS. Especially - for casters.