to stop doing or thinking about something, usually for a short period of time

He's temporarily laid aside some quite interesting projects to write the script. 他已经暂时放下一些非常有意思的项目去写剧本了。

to keep something, usually money, for use in the future

She's trying to lay something aside (= save some money) for her retirement. 她想为退休后的生活存些钱。