A Chinese Filipino is a Philippine national of Chinese

Han Chinese

Han Chinese are an ethnic group native to China and are the largest single ethnic group in the world.Han Chinese constitute about 92% of the population of the People's Republic of China , 98% of the population of the Republic of China , 78% of the population of Singapore, and about 20% of the...

 ethnicity but born/raised in the Philippines

Philippines

The Philippines , officially known as the Republic of the Philippines , is a country in Southeast Asia in the western Pacific Ocean. To its north across the Luzon Strait lies Taiwan. West across the South China Sea sits Vietnam...

.

Many, if not all people in the Philippines

Philippines

The Philippines , officially known as the Republic of the Philippines , is a country in Southeast Asia in the western Pacific Ocean. To its north across the Luzon Strait lies Taiwan. West across the South China Sea sits Vietnam...

, including Chinese Filipinos themselves, use and accept the term "Filipino Chinese"/"Filipino-Chinese". However, this is inconsistent with US English

American English

American English is a set of dialects of the English language used mostly in the United States. Approximately two-thirds of the world's native speakers of English live in the United States....

 usage, on which Philippine English

Philippine English

Philippine English is the variety of English used in the Philippines by the media and the vast majority of educated Filipinos. English is taught in schools as one of the two official languages of the country, the other being Filipino, a standardized version of Tagalog.English is used in education,...

 is largely based. Despite its inconsistency with American English, the term remains to be the officially accepted reference in the Philippines.
The term "Chinese Filipino" may or may not be hyphenated.