Make a few slits in the eggplant and insert the garlic pieces. Rub lightly with oil and place on baking tray.
Roast eggplant till soft (this may take anywhere from 35 minutes up to an hour). When done, place in a bowl while still warm and cover with plastic wrap.
Peel and discard the skin and place the flesh in the bowl of a food processor. Add tahini, lemon juice and ackees. Puree till smooth then add salt and adjust seasoning to your liking.
Spoon into a bowl to serve as a dip or plate as desired.