I'm using MC Eternal 1.3.5.3. (Note - the drawers are in "Keep all items when broken" mode)

1. Lock the drawer.
2. Right click a Tinkers Construct item into the drawer. (suspecting it has to do with durability or metadata?)
3. Left click on the item to retrieve it.
4. Unlock the drawer and try to retrieve the item.

It's impossible to remove the item from the drawer - even with shift-right clicking, the item can't be removed.