Cú Choigcríche Ó Cléirigh (fl. 1624–1664) was an Irish historian and genealogist, known in English as Peregrine O'Clery.
Ó Cléirigh was a son of Diarmaid Ó Cléirigh, and thus a third-cousin once removed to Brother Mícheál Ó Cléirigh, whom he assisted in compiling the Annals of the Four Masters.
However, Paul Walsh believed him to be a son of Diarmad mac An Chosnamghaigh mac Concoigríche mac Diarmada Ó Cléirigh, who died in 1552. This Diarmaid was a brother of Tuthal (died 1512) and Giolla Riabhach (died 1527). Mícheál Ó Cléirigh was the son of Donnchaidh, a son of Uilliam son of Tuathail Ó Cléirigh, who died in 1512. The first modern-day editor of the annals, John O'Donovan, believed that Ó Cléirigh was the son of the poet and historian Lughaidh Ó Cléirigh, although this has since been disputed.
Along with Brother Mícheál, Ó Cléirigh transcribed the years 1332-1608 in the annals. The earliest copy of Lughaidh Ó Cléirigh's life of Aodh Ruadh Ó Domhnaill is in his handwriting. He also wrote a poem on Mary, sister of Red Hugh O'Donnell, who died in 1662, which is now among the Phillips Manuscripts at the National Library of Ireland.
He seems to have given material to Dubhaltach MacFhirbhisigh, which the latter inserted on page 299 of Leabhar na nGenealach
His own principal work is the compilation known as the O'Clery Book of Genealogies.
He died at Gortnaheltia, in the valley of Glenhest at the foot of Nephin Beg, overlooking Lough Beltra. He bequeathed his books to his sons Diarmaid and Seaán.