Hello, Elle!
Yes, today's setter makes you think, and why not!
Yes, "dottle" means what is left in the bowl of a pipe.
You could look in Chambers if you are not sure of a word?
Up here "dottled" can mean "daft".
Now, I have no problem with own/particular.
But, expressing why to you takes a bit of thought!
Say, when you are at home, you always sit on the same chair.
You may look upon that chair as your "own" chair, and see that chair as your "particular" chair.
Am I shining any light yet?!!!
The "clue"in the clue is a "down" clue.
Remove "d" for "died" and you have "own".
Is that OK?
allocable/allocatable are words I have never used, or heard used.
But I can say that about more than 90% of the words in Chambers!
I need my Chambers!
Your afternoon is fine.
You are making good progress at the cryptics!
There were some tough clues to solve.
I took around an hour to finish it.