Let me analyze this Chinese headline according to the requested format:

Step 1: Parenthesized Clause Breakdown

A. "(时政微观察) | (民营经济) (大显身手) (正当其时)"

B. Tree structure:
- 时政微观察 (Current Politics Micro-observation)
  - 时政 (current politics)
  - 微观察 (micro observation)
- 民营经济 (private economy)
- 大显身手 (demonstrate capability)
- 正当其时 (right/proper timing)

C. The phrase "正当其时" indicates current temporal relevance

Step 2: Hanzi Breakdown Table

| Hanzi | Pinyin | Literal Meaning |
|-------|---------|----------------|
| 时政 | shí zhèng | current politics |
| 微 | wēi | micro/small |
| 观察 | guān chá | observe/observation |
| 民营 | mín yíng | privately operated |
| 经济 | jīng jì | economy |
| 大显 | dà xiǎn | greatly demonstrate |
| 身手 | shēn shǒu | capability/skill |
| 正当 | zhèng dāng | just right/proper |
| 其时 | qí shí | this time |

Step 3: Fully Literal Translation

Current Politics Micro-observation (时政微观察 shí zhèng wēi guān chá) | Private (民营 mín yíng) economy (经济 jīng jì) greatly (大 dà) displaying (显 xiǎn) capabilities (身手 shēn shǒu) [is] precisely (正当 zhèng dāng) the right time (其时 qí shí)

Step 4: More Natural but Still Literal Translation

Current Politics Micro-observation: It's the Perfect Time for the Private Economy to Demonstrate its Capabilities

Step 5: Analysis of Grammar and Meaning

A. This is a news headline combining a column name (时政微观察) with a topic statement
- The vertical bar (|) serves as a separator between column name and content
- 正当其时 is a four-character idiom indicating perfect timing

B. The structure follows typical Chinese headline format with:
- Column identification
- Topic
- Assessment

C. Alternative phrasings could include:
- 民企展现实力正当其时 (more concise but less formal)
- 民营经济大有作为的最佳时机 (different emphasis on timing)

Step 6: Final Thoughts

A. The sentence is grammatically correct and follows proper headline structure

B. Word choice analysis:
- 大显身手 is more literary and formal than alternatives like 展现实力
- 时政微观察 positions this as an authoritative analysis piece
- 正当其时 adds a sense of officiality and inevitability

C. Potential refinements:
- The headline is well-crafted for its purpose
- No significant improvements needed as it effectively balances formality, authority, and clarity