Synonyms of 'anon'
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in good time; early
If you say that something will happen presently, you mean that it will happen quite soon.
Just take it easy and you'll feel better presently.
If something happens shortly after or before something else, it happens not long after or before it. If something is going to happen shortly, it is going to happen soon.
Their trial will begin shortly.
Thesaurus for anon from the Collins English Thesaurus
Anon means quite soon.