The most common and most likely answer to this crossword clue is the 14 letter word PREDESTINATION
I've seen this crossword clue in The Times
P
R
E
D
E
S
T
I
N
A
T
I
O
N
More clues leading to the result PREDESTINATION
Buddy explains!

The straight part
We know that "the idea each person has a lot" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the idea each person has a lot = predestination.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PREDESTINATION mean?
PREDESTINATION noun- The doctrine that everything has been foreordained by a God or by fate.
- (specifically) The doctrine that certain people have been elected for salvation, and sometimes also that others are destined for reprobation.
- Destiny or fate.