I found this on the back of a calendar and enjoyed spending a few seconds thinking laterally:
I am a 6 letter word.
Letters 6-5-2 spell out a drink.
Letters 4-5-2-3 spell out a fruit.
Letters 1-2-6 spell out a pet.
Letters 3-2-6 spell out a pest, which often gets eaten by 1-2-6.
I’d love to know which word you figured out first (to see if my mind works like other people’s i suppose!)