Grignard reagent will act as a base or a nucleophile
As most of us chemists have understood and experienced, the Grignard reagent have undergone the many reactions with suitable substrates. Yet, the most familiar and probably the most used reaction is the addition to a carbonyl group to give $2^\circ$- or $3^\circ$-alcohol. The Grignard reagents' affinity for a corbonyl group in the presence of an acidic $\alpha$-$\ce{H}$ has been documented here. However, if at least $\ce{OH}$ group is present in the molecule, acid base reaction would be take over. For example, the usual Grignard reaction would not happen if your glassware is wet or not properly dried.

Albeit they were rarely published, it is well known fact that some side reactions with available acidic $\alpha$-$\ce{H}$ and some reduction reactions have been taken place during original Grignard reactions. These side reactions are frequently complicated the intended reactions, which may replace some or all of the intended addition reaction, reducing expected percent yield (Ref.1). Most importantly, the conversion of an alkyl halide to a deuterium labelled hydrocarbon has been achieved via Grignard reagent preparation (Figure A):



Keep in mind that these labelling are selective based on the alkyl halide. Recently, there was a method developed to selective labeling by using organozinc reagents (Ref.2). Although these are not conventional Grignard reagents, organozincs are close relatives (Figure B). Another example for Grignard reagents acting as a base is a method to prepare terminal alkynyl-Grignard reagents (Figure C).

Some times during Grignard preparation, you might experience no Grignard was evidently formed because you have loosen your alkyl halide reagent while substrate ketone was recovered unchanged. That is because, if your ketone is bulky like diisopropyl ketone (2,4-dimethylpent-3-one), following reaction may happen (look under an example for Grignard acting as a base):



If your Grignard reagent have an active $\alpha$-$\ce{H}$ to give, it can also acts as an reducing agent as in above case of Grignard acting as a reducing agent. This is the case of reaction between benzophenone and specific Grignard reagent (isobutyl magnesium bromde or 3-methylbutylmagnesium bromide) illustrated in Ref.1. The main products from that reaction were dibenzylcarbinol and isobutene.

References:


G. E. Dunn, John Warkentin, "An Isotopic Study of the Reducing Action of the Grignard Reagent," Canadian Journal of Chemistry 1956, 34(1), 13841–13857 (https://doi.org/10.1139/v56-007).
Aiyou Xia, Xin Xie, Xiaoping Hu, Wei Xu, Yuanhong Liu, "Dehalogenative Deuteration of Unactivated Alkyl Halides Using $\ce{D2O}$ as the Deuterium Source," J. Org. Chem. 2019, 84(21), 13841–13857 (https://doi.org/10.1021/acs.joc.9b02026).