Cryptic crossword No 3,757

Across

1. Mesh essentially caught parrot in flight (6)
2. Some minister's yawl abruptly turning over every time (6)
3. Energy matters messy for American truck driver (8)
4. Caution against conflict with Iran in the end (4)
5. Dick's cool with the fellows in club say (10)
6. Main mentor succeeded fantastically, a leviathan for one (3,7)
7. Feature of French story on the radio (6)
8. Standoffish rock band primarily offends the English (6)
9. Originally enemy troops, guerillas fighting government body (11)
10. Sting from Diana cheating (4)
11. Cleared for permit at the beginning of November (8)
12. Faithful and sturdy without a trace of doubt, pet ultimately flourished (6)
13. Intrigue with gourmet's butt in three-legged pot perhaps (6)

Down

1. Brought up matter of problem around position (6)
2. Most fresh and about the most fat-free (8)
3. Provocative militants periodically surge explosively (11)
4. Endlessly eat up time being pious (6)
5. Large bottle mother starts to give newborn, then voices hesitation (6)
6. Rumour from broadcast at this point supported by state (7)
7. Rummage sale's opening ushering in key pay back (8)
8. Elevates and extols but not quietly (6)
9. Breathtaking soprano and contralto introducing nice arrangement (6)
10. Introduce new ideas in tavern with eggs and teacake without filling (8)
11. Response to stimulus concerning dramatic opening of Naked principally (8)
12. Dry up much of river in southern Hungary with the completion of sawmill (7)
13. Atone for revolutionary sharing diamonds with judge (6)