Crampons themselves are not waterproof because they

Crampons themselves are not water-resistant because they are metal extender devices designed to attach to your footwear. However, typically the **materials they are created from (usually metal steel or aluminum) are highly immune to water, ice, in addition to corrosion**, which ensures durability in damp or snowy situations.
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The **harness** of which attaches the broche to your sneaker or boot, typically made from elastomer or even nylon, is often **water-resistant** but is not fully waterproof. These materials can handle wet and icy conditions but are not necessarily meant to keep drinking water out.
For waterproof protection, it's necessary that your **hiking boot styles or shoes** are waterproof. Most attaches are designed to be used using sturdy, waterproof backpacking boots to take care of feet dry and comfortable inside snow or frigid conditions. Brands like **GORE-TEX** boots are popular for their water proof and breathability, which in turn is key whenever using crampons in damp environments.
In short, crampons will avoid water and ideal, however for full waterproofing, your boots happen to be the critical factor.