st cryptic 2461

[fireflybob]

2d More tied up, he misses meals out altogether (6)

?A?T?R (Maybe FASTER but why please?)

13a Appointed to get something done, follow through (8)

D???I?E? (DETAILED but not sure!)

9d Polish the pieces that don't sparkle (4)

?D??

16d Frightened if I drop off I can get injured (2,1,5)

IN A ?????

21d An article or just a few lines in the newspaper (4)

I???

Thanks for any help - what would we do without crosswords on a Sunday afternoon?

[octogenarian]

2d Dieter

[BigDave44]

2d faster - fast is tied up / to fast is to not eat
13a yes - deed (something done) around/through tail (follow)
9d edit
16d In a panic - i nap (drop off) anic (anag of i can)
21d item (dual meaning)

[fireflybob]

BigDave44, many thanks!