"Haddest a gander" is a colloquial phrase used to suggest taking a quick look or a brief glance at something. There are several synonyms that can be used in place of this phrase depending on the context of the situation. Some of these synonyms include "taking a peek", "having a glance", "casting an eye", "taking a quick look", "scanning briefly", "inspecting swiftly", and "surveying hastily". These phrases all imply a quick and brief action of observing something without spending too much time on it. Using different synonyms for "haddest a gander" can help make speech and writing more varied and interesting.