A term of endearment usually used to call a lover or romantic interest.
"Pook" from the word "Pookie"
"Leez" in reference to the mythical Greek hero, Hercules.
In essence it is saying your "Pookie" is strong and/or heroic much like Hercules.
"Pook-a-leez helped me lift the heavy box."
"I have the best Pook-a-leez"