I've seen a temporary teaching fellowship at my local university (my PhD uni is 200 miles away).
They want a specialist in Medieval Art History (my area) who can teach some theoretical stuff in the general undergraduate art history modules (I've teaching experience in both first and second year art history courses).
But as usual they want someone with a PhD or close to completion. I'm writing up and hoped to submit September but could bring this date forward. The job starts in January.
I know you don't get if you don't ask but do people think I would have any chance of this and any tips on applying? Thanks Also should I see what my supervisor thinks.

yes do apply! I recently didn't apply to a job at Oxford because I thought 'they'll never want me, I'm thick and i've not finished my PhD' - then I spoke to someone from the department who said if I had have applied I would have been the most experienced, furthest along in the PhD AND they were looking for women. D'oh!

All the jobs I've applied for recently, I've had an interview for. And I'm about 6 months off finishing. I've been reserve in 2 of them, so I say it is worth it :D

My tip would be, be vague about your completion date. I just say 'I'm in the final stages of the write up'.

absolutely go for it, I had the interview for my job in November, got offered it, started in febuary, handed in in March. It's not nice doing essentially 2 jobs at once (your paid one and writing up) but you can do it, any job you want to do and feel qualified for, I suggest you apply for in this day and age