“There is no friendship that cares about an overheard secret.”
Source: The Three Musketeers
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Alexandre Dumas 123
French writer and dramatist, father of the homonym writer a… 1802–1870Related quotes

“There is no immortality that is not built on friendship and work done with care.”
Source: Mr. Penumbra's 24-Hour Bookstore (2012), Chapter 31 “Epilogue” (p. 288)

As quoted in Hugs for Girlfriends : Stories, Sayings, and Scriptures to Encourage and Inspire (2001) by Philis Boultinghouse and LeAnn Weiss, p. 7; there seem to be no published sources available for this statement prior to 2001.
Disputed

“You could care enough to keep a secret, but you could care enough to tell one, too.”
Source: Stay

Interview with Edward R. Murrow, A Conversation with J. Robert Oppenheimer (1955)

Pushkin, 19 October 1827.
as quoted in Pushkin, Alexander (2009). Selected Lyric Poetry. Northwestern University Press, p. 121.

“There's only one secret to bachelor cooking — not caring how it tastes.”
The Bachelor Home Companion (1986)
Source: Trent's Own Case (1936), Chapter XV: "Eunice Makes a Clean Breast of It"