Doctor Livingstone’s first cousin taking on Conservative for the final time (10)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

CON (Conservative) + an anagram (doctor) of L[ivingstone] + COUSIN Edit – thanks to ChannelSeimmer @11 – careless error: it’s an anagram of L[ivingstone] + COUSIN round ON  C (Conservative)