What does the quote mean in the beginning of Chapter 8 in The Secret Life of Bees?

Isolate a
honeybee from her sisters and she will soon
die.

As you have no doubt
realized, the quotes opening each chapter of this novel are both insight into some of
the themes of the book (through bee symbolism) but also foreshadowing of events in the
book.  You can make your own prediction as to what such a quote might be
foreshadowing.

As for thematic revelations, this quote
speaks to more than one.  First, a predominant theme of the book is female
relationships, and the necessity of women to connect with other women for personal
growth and a sense of identity.  This quote speaks directly to this idea.  The message
here is that female relationships and a connection to a community (according to this
quote) is not merely a suggestion for women to be happy, it is required for them to
live.

Secondly, this quote speaks to the feminist ideals
presented in the novel.  This chapter includes a conversation between Lily and August,
where August reveals why she never married:

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There were enough restrictions in my life without
someone expecting me to wait on him hand and foot. 
(145)

In all of her talks of
love and relationships, August Boatwright is against the institution of marriage.  She
believes it would mean losing her sense of self, her true independence.  This stems from
a very feminist idea that in a male-dominated society, men hinder women from becoming
who they are meant to be.  Certainly this is one issue raised in the book that remains
left open for personal reflection.