Possible Clues:

• Her toast made, using this electrical device?
• The rotas (anag.)
• Start aborted - holding ring he first put inside this device
• Electrical device whereby toaster somehow keeps hot
• The cause of some resistance with heat - sort of
• So Hatter does not always put up the same resistance
• Current controller having to share out last of allotment
• Instrument for varying electrical resistance
• Current regulator finds hearts to break
• Controller of current that rose at sea