Does the suffix -weilig have a particular meaning?
I've seen it in a few words, such as langweilig, zeitweilig etc.
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The german noun Weile is cognate to while and means "while"[Noun], "spell"[period of time] "duration", "span of time". Adding the suffix -ig is a way to create an adjective from a noun.
The verb weilen means "to rest", "to stay at one place (for a while)".
Hence, the suffix -weilig means as much as "during", "while"[Adjective], "in the time of". But it is not always possible to guess the meaning, since it has changed over time or has focussed on a particular idea which is only loosely related to the notion of Weile:
However, as Schmuddi points out in a comment, all examples containing -weilig are lexicalized words with opaque, non-compositional meaning and -weilig is not a productive morpheme of German anymore, you could not use it to form a new word anymore.