The fabric of a garment, pillow, drape, or other object made out of cloth can represent:
The image conveyed by the particular type of fabric (e.g., velvet as rich or luxurious)
The characteristics conveyed by the fabric's color, weave, pattern, condition, weight, etc. (e.g., a flowered fabric might represent cheerfulness, dirty fabric might represent lack of attention to one's needs)
The characteristics of the item that is made from the fabric
Possible dream symbol meanings in the dream dictionary are suggested. No "standard meanings" exist because dream meaning is subjective and specific to the dreamer.