Yes—“old-school liquid glue or mucilage” refers to a type of adhesive, not something inherently suspicious.
What is mucilage?
Traditional mucilage is a thick, sticky liquid made from plant gums or other natural polysaccharides. It was historically used as glue for paper, labels, envelopes, and postage stamps.
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PubMed Central (PMC)
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Older commercial products were sometimes amber-colored and transparent, and mucilage was commonly used by schoolchildren for crafts and paper projects.
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PubMed Central (PMC)
Modern white school glue is usually PVA (polyvinyl acetate) rather than traditional plant mucilage.
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Wikipedia
So, if this is the “item” you were worried about…
If the object is actually a bottle/container of liquid glue or mucilage, finding it in your dad’s drawer doesn’t by itself indicate anything sinister or what you may be afraid of. It’s a normal adhesive with many ordinary uses.
If you can send me a picture of the exact item, I can tell you whether it really appears to be glue/mucilage or something else.
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