The obvious solution to the first section (4 verses) is

CAT (neat, licks, lies at your feet purring; lions roar, cats chase shadows and watch over sleeping humans; may fly into a rage if treated badly and lash out at anyone).

The obvious solution to the second section (3 verses) is

RIDDLE (neat, fun to guess, warms the heart; sometimes hated, downvoted, commented on, and closed).

Now putting these together, I wonder if we should use the fact that

CAT is the subject of a long-running RIDDLERS' meme here on PSE, often associated with riddles whose titles contain the word "pray":

You will have to pray!
riddle - pray you can find the word!
Riddle... pray that this is the last one

So perhaps the real intended answer is

PRAY.

The obvious solution to the first section (4 verses) is

CAT (neat, licks, lies at your feet purring; lions roar, cats chase shadows and watch over sleeping humans; may fly into a rage if treated badly and lash out at anyone).

The obvious solution to the second section (3 verses) is

RIDDLE (neat, fun to guess, warms the heart; sometimes hated, downvoted, commented on, and closed).

Now putting these together, I wonder if we should use the fact that

CAT is the subject of a long-running RIDDLERS' meme here on PSE, often associated with riddles whose titles contain the word "pray":

You will have to pray!
riddle - pray you can find the word!
Riddle... pray that this is the last one

So perhaps the real intended answer is

PRAY.