1.
If you lay something aside , you put it down, usually because you have finished using it or want to save it to use later.
He finished the tea and laid the cup aside...
This allowed Ms. Kelley to lay aside money to start her business.
PHRASAL VERB : V n P , V P n (not pron)
2.
If you lay aside a feeling or belief, you reject it or give it up in order to progress with something.
Perhaps the opposed parties will lay aside their sectional interests and rise to this challenge...
= put aside
PHRASAL VERB : V P n (not pron)