Question

What does this mean: "Reckon me"

Answer 1

Reckon mainly means to involve someone in someone's group or activities which are performed by more than one person. So Reckon me would probably mean to involve me in whatever group i am asking for.

Answer 2

Actually, reckon is an interesting word.

It really means to count, calculate, or compute - or "to add something up."
{Although this variation seems to imply "beforehand" or "preemptively" of something}

Stemming from this, its second definition is to esteem or consider something or someone.

Put those two together in the real world and you get its fifth definition, "to settle accounts" (here intended to be person-to-person situations.)

So "Reckon me" should mean something to the effect of:

1) "Settle this thing about/with me."
or (playing on the word)
2) "Respect me." (by considering me in what we/you are talking/thinking about)

Definitions:
http://dictionary.reference.com/browse/Reckon