If it is in fact grease that has 'locked' the chuck on the spindle a gentle application of heat from a non-combustible heat source would help to soften said grease. WD40 is not really that strong of a solvent to do much good, especially blocked cracks and crevices. A product called PB Blaster is a very good solvent and is very combustible. It is widely used by the car groups to get rusted fasteners loose. Use a heat lamp first and then apply the PB Blaster. You may have to apply it several times and let it soak overnight, applying some moderate blows with a large rubber mallet, nothing too crazy but it will help the PBB to wick into the sealed up gap.
BC1
Jim
BC1
Jim