4 KudoZ points awarded for this answer. Comment: "Think I'll go for this, as it sounds a bit unusual for a menu (otherwise, if they're tips why not just say pointes d'asperges?). Tender shoots might be another option, but shoots and spears do tend to suggest the whole stalk to me (cf similar Google images for both), whereas I think they mean just the very tip of the tip, so to speak - as seems to be shown in writeaway's link. Thanks!"