Have a lot of time for somebody/something
Definition 1 of 1
Pro Tip 1/3Sincerity
The phrase often implies genuine admiration rather than polite flattery. 
John has a lot of time for his mentor, owing to the honest guidance he's received.
Pro Tip 2/3Personal Value
It reflects the speaker's personal opinion, not a universal truth. 
Emma may not be well-known, but I have a lot of time for her ideas.
Pro Tip 3/3Not Literal
It doesn't mean having free time; it's about having respect or admiration. 
I have a lot of time for volunteers; they make a real difference.