In this communication, I present a novel method for PCR cloning termed ‘hetero-stagger PCR cloning’ (Fig. 1). The procedure is based on the fact that related PCR products of different lengths can be obtained by preparing related primers of different lengths. These related PCR products are mixed, heat-denatured, and annealed to form heteroduplex thereby molecules with cohesive ends can be generated. These molecules with cohesive ends can be readily cloned into compatible vectors (Fig. 1). PCR products amplified by using Taq polymerase as well as by using proof-reading thermostable enzymes can be cloned by this procedure.
https://academic.oup.com/nar/article/24/12/2458/1141698/Hete...

Creating cohesive ends
Restriction endonucleases recognize and cleave dsDNA at highly specific nucleotide sequences, or restriction sites. Many restriction enzymes produce short, staggered ends (with 5′ or 3′ overhangs) that can be rejoined by a DNA ligase to regenerate the original recognition sequence (Figure 1). They are referred to as cohesive ends because of the hydrogen bond stabilization of the DNA bases that loosely holds the DNA ends together prior to ligation. The specificity of restriction enzymes enables directional cloning, and the hydrogen bonding of cohesive ends increases the efficiency of cohesive-end ligation by as much as 100X over blunt-end ligation [1].These features make cohesive-end cloning a highly useful method for molecular biology.
http://www.idtdna.com/pages/decoded/decoded-articles/core-co...

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Note added at 8 hrs (2017-02-07 17:21:17 GMT)
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Cohesive end (also called sticky or staggered end) A single-strand overhang at the end of a double-stranded DNA fragment (often produced by a staggered cut on the DNA by a type II restriction endonuclease), which can base pair with a complementary single-strand overhang of another DNA fragment.
https://books.google.com.co/books?id=2-IlMqaQyE4C&pg=PT738&l...