W. M. Rossetti alludes to this poem in two separate entries in The P.R.B. Journal. On 18 February 1850 he writes:

In default of any adequate poem, I looked up my Sister's old thing named "An Argument," which is at least as long enough and in a narrative form. Tupper, to whom I read it, is very much delighted with it; but the fact is it is not quite up to the mark.

The entry for 20 February 1850 discusses the possibility of creating an etching for the poem:

Our difficulties as to illustration continue. The only plans we have thought of are either to make an etching for our Sister's poem in two compartments, one of a girl spinning, and the other of the battle-field, or, as Tupper thinks preferable, or the avalanche--or else to take some subject from Gabriel's "Hand and Soul" in the first number.
There is no evidence that any illustration for this poem was ever executed.

Composed in December 1847, "Repining" made its first appearance in Art and Poetry (aka The Germ), and was was republished in the following editions:

Goblin Market and Other Poems. (London: Macmillan, 1862).
Poems. (Boston: Roberts, 1866).
Goblin Market, The Prince's Progress, and Other Poems. (London: Macmillan, 1875).
Poems. (Boston: Roberts, 1866).
The Poetical Works of Christina Georgina Rossetti. (London: Macmillan, 1904).

The notebook MS is located in the Bodleian Library, Oxford.