Quiz: Radio 4 presenter anagrams

As every website seems to feel the need to do a Christmas quiz, here's one for you tonight.

Can you unscramble the following anagrams of BBC Radio 4 presenters? 

1. Dire media (5,4) 

2. Hoard clerics (7,5)

3. Aha, me using jet! (5,8)

4. A rotund red swot (6,8)

5. I shun Islam? Ha! (6,6)

The answers lie in the comments section below.