The message in this dream fragment ("Deep, deep down amongst the rocks and the calcite, we struck oil!" refers to World's Longest Diagramless which contains clues near the bottom of the list for ROCKS and CALCITE. Around these clues were six four-letter answers which consisted of a single letter plus a permutation of the letters O-I-L:
Loam (4) | SOIL |
Stitch's cartoon pal (4) | LILO |
Of the hipbone: Prefix (4) | ILIO |
Snake shape (4) | COIL |
Limestone, mostly (7) | CALCITE |
Sways back and forth (5) | ROCKS |
Drug shipment, maybe (4) | KILO |
Songs for one (4) | SOLI |
In order, the additional initial letters of these six clues spell the dream fragment answer SLICKS.