Cryptic Crossword #7 - Solution

As the grid indicates, successfully completing the double-answer clues requires the replacement of part of those answers with the appropriate Greek letter.The single-answer clues' extraneous words spell out the question: WHAT DOES THE CLASSICIST ORDER FOR AN APPETIZER? The slightly hilarious answer: GREEK ALPHABET SOUP.

Across

7. ALP + HAN + UM + ER + IC Extraneous word: WHAT
8. STUDIO (double definition)
TAIL (double definition)
10. S + CRAG
AM + MAN
11. AGATHa + E
TASTER (double definition)
12. MODEL (triple def.)
TA(PI)R
13. DI + ALECTo (dye homophone)
thAt bUsy TycOon (every third letter)
16. DEPENDENT CHILDREN (pun: hanging issue)
Extraneous word: DOES
18. WELCOME (pun: reference to mat)
GANDER (hidden)
19. A(X + ILL)A
Extraneous word: THE
21. DUST(UP)S
ILONGOT (tooling anagram)
23. philaDELPHIAN
Extraneous word: CLASSICIST
24. GIB + BET (big reversal)
ACRE (double definition)
25. ECONOMIC (one comic anagram)
RO(N + D)O

 Down

1. A + NUNCIO
Extraneous word: ORDER
2. DECA + M + P
I + LEACh
3. NISeI
GM + AN
4. S(TEA)K
A + P P(vALACHI)a
5. RHODES (triple definition, plus hordes anagram, roads homophone)
Extraneous word: FOR
6. S(ID EST)EP
SILO + NE
9. H + A + KIM
UNBELTS (sun belt, moving S)
14. COD + EX
IDLING (double definition)
15. AD + Z + E
TAN + AGERS
17. EWE LAMB (pun: heifer = bovine becomes ovine)
DA(U)N + II
20. LEAP (double definition)
SIDE (sighed homophone)
22. TI(BE)TAN
Extraneous word: AN
23. D + E(T)ACH (ache anagram)
Extraneous word: APPETIZER

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