scrap
part??????
trace
Villa
tuft
A small piece of cloth that starts with an "F" might be a flag. This might also be a piece of fabric. There are several websites that offer crossword puzzle hints including One Across.
Handkerchief
what is a small field that starts with the letter p
Adding the letter "L" to the beginning of "hand" creates the word "Lhand," which does not have a specific meaning. However, if you meant to suggest a word that means a small piece of something, "shard" could fit that description for glass. For the wordplay, the intended answer might be "strand," as it can refer to a small piece or part, often in the context of thread or hair.
Rill
MINI
ball
sprat