The most common and most likely answer to this crossword clue is the 7 letter word PERIQUE
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More clues leading to the result PERIQUE
Buddy explains!

The straight part
We know that "a weedy type" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a weedy type = perique.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PERIQUE mean?
PERIQUE noun- A kind of tobacco with medium-sized leaf, small stem, and tough and gummy fiber, raised in Louisiana and cured in its own juices, so as to be very dark in color. It is marketed in tightly wrapped rolls called carottes.