Keep On Truckin’ solution
by Kegler

Eleven answers become new words or names by having RIG added before entry.

Keep On Truckin’ solution grid

Across
1OD + DLOT (rev)
6G + S(U)ITS
11SERIGRAPHS (SHERPAS anag)
12MA(I)D + S
13A + LIT
14OFF (hidden)
15BAD + GE (rev)
17T(R)EES
18RIGOR (2 defs)
19IRIG(RAT)E
21GE(N)T
23SIN + G
24TURN AWAY (WARY AUNT anag)
25A + G + HA
26RIGI'D
29RIGEL (2 defs)
30IRE (odd letters)
32STrEEP
33PARk + IS
35BRIG + AND + AGE
36EST + AT + E (SET anag)
37MUSCAT (hidden)
Down
1OSMOSIS (hidden)
2DEAF (FADE anag)
3DR + IF + T
4L(I),D
5TRU(D)E + AU
6GA(N)GS
7S + P + HERE
8ISLE (LIES anag)
9TRIGON + ALl (NOT rev)
10SATYR (STRAY anag)
13A + BIG + rAIL (LIAR rev)
15BRIG + ADE
16FRIGATES (FEAST anag)
20TRIGRAM (rev)
22T(Y)PESET (SEPTET anag)
24TAR(PI)T
25pAISLEy
26RID(G)E
27D(I)RAC (CARD rev)
28DE(B)T (TED rev)
31RIGA (2 defs)
34ADS (SAD anag)