Toga by Nod

Puzzle explanation

The extra letters from wordplay gave the instruction “shift first letters of the clues for more advice”. Cycling each clue’s initial letter 13 places in the alphabet provided the further instruction “shift a row by thirteen then highlight in purple”. When similarly cycled by 13 letters, the sixth row in the grid becomes “Caesar cipher”, a term for the type of encoding used. It is also called a Caesar shift, to which the title is a cryptic reference; purple is the colour of Roman emperors’ robes.

Clue explanations

Conventions: * = anagram, < = reversal

No Answer Explanation with [extra letter]
Across
1 ARUM [S]ARUM
5 AMPHORA CAMPHOR − C + [H]A
10 DESENSITIZER D[I]ES + ENS + I’ + TIGER with Z for the central letter
11 HOHS HO[F] + HS (hoc sensu)
12 TRACT [T]ACT after T(o)R(n)
13 RORIC R FOR IC (substitution converting CHOICE to CHORE)
15 INDEED I(talia)N + [I]DEE + ’D
18 AEGEAN A[R]E + GEAN
19 NEP [S]EN < + P
20 CURE CURE[T]
21 SOOT TOO[L]S <
22 AHI HI[E] after A
23 OIL-GAS [T]OILS around GA
24 STORES ORE in (ST + S[T])
27 HAMAS HAS around A[M]E
30 URGER [R]UHR − H + GER
31 ERIC (missil)E’[S] RIC(ochet)
32 RECIPROCALLY (PICCOL[O] RARELY) *
33 ERELONG [F]ERE + L + ON + G
34 LEES S[T]EEL <
Down
1 ADAR [H]AD + A + (Ma)R(ch)
2 RECONNOITRER RR around (E + CON + NO + I + TRE[E])
3 USER RES[C]U(e) <
4 ONOCENTAUR (C[L]ONE OUTRAN) *
5 ASHY SQ[U]ASHY − SQ
6 MISHAP MI + SHAP[E]
7 HIRE [S](andwic)H + I(diot) R(efunded) E(ntire)
8 RECHARGEABLE [F]ABLE around (RE + CHARGE)
9 ARTINESS (IN RATE) * + S[O]S
12 TREVITHICK TREVO[R] with I for O + THICK; ref. Thomas the Tank Engine character
14 FEUAR F + EU + AR[M]
15 IPSO JURE (PO[O]R JESUI(t)) *
16 DROLL D[R] + ROLL
17 EFT FT in (Gr)E[E](ce)
20 COO C(rying) O(ut) + [A] + O
22 ASTERN (h)AST(e) + [D]ERN
25 VEIL V(olatil)E + [V]IL(e)
26 FROG GO < after F[I]R(e)
28 MALE MA[C] + L(ook) E(xceptionally)
29 SAYS SA + Y[E]S
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